Photo: Mark Sullivan/WireImage Richard Perry — who produced “You’re so Vain” for Carly Simon and Nilsson Schmilsson for Harry Nilsson — has died. News of his death was confirmed to the Associated Press by his friend, Daphna Kastner Keitel, who said the cause of death was cardiac arrest. He was 82. Perry got his start in the music biz doing novelty songs like “Safe as Milk” by Captain Beefheart and Tiny Tim’s immortal “Tiptoe Through the Tulips.” He worked extensively with Harry Nilsson,